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Finding the Fourth Proportional to 1,471.93, 2,031.32 and 842.57

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Solution

The fourth proportional to 1,471.93, 2,031.32 and 842.57 is: 1,162.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.93 : 2,031.32 = 842.57 : x
  2. Step 2: Convert to fraction form
    1,471.93/2,031.32 = 842.57/x
  3. Step 3: Cross multiply
    1,471.93x = 2,031.32 × 842.57
  4. Step 4: Simplify right side
    1,471.93x = 1,711,529.29
  5. Step 5: Solve for x
    x = 1,711,529.29/1,471.93
  6. Step 6: Final answer
    x = 1,162.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.